What is expand (2pix+4pi)(x+5) ?

The solution to expand (2pix+4pi)(x+5) is 2pix^2+14pix+20pi

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expand (2pix+4pi)(x+5)

expand

(2 π x + 4 π) (x + 5)

2 π x^{2} + 14 π x + 20 π

Solution steps

(2 π x + 4 π) (x + 5)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 2 π x, b = 4 π, c = x, d = 5

= 2 π xx + 2 π x \cdot 5 + 4 π x + 4 π 5

= 2 π xx + 2 \cdot 5 π x + 4 π x + 4 \cdot 5 π

Simplify

2 π xx + 2 \cdot 5 π x + 4 π x + 4 \cdot 5 π : 2 π x^{2} + 14 π x + 20 π

= 2 π x^{2} + 14 π x + 20 π

\frac{2 ( x + 3 )}{5 ( 2 x - 1 )}

(- 3 \cdot e + 3 \cdot z)^{2}

r \cdot e^{j (θ + π)}

x^{2} - 2^{2}

e (2 x + 3 y - 2 z + 5)

What is expand (2pix+4pi)(x+5) ?
The solution to expand (2pix+4pi)(x+5) is 2pix^2+14pix+20pi